Problem statement and background
In this work, we consider data-driven discovery for nonlinear dynamical systems governed by ODEs of the form
$$\begin{aligned} {\left\{ \begin{array}{ll} \dot{x}(t) = f(x(t)),\\ x(t_{0}) = x_{0}, \end{array}\right….
Category: 7. Maths
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Optimization model for predicting quantum theoretic characteristics of hexagonal systems using temperature dependent graph theoretic estimators
Note that, within a range of \(\theta\) values, both the temperature indices \(T^{\theta }_{1}\) and \(T^{\theta }_{2}\) deliver a significant predictive accuracy for correlating \(E_{\pi }\) of lower BHs.
Let us first evaluate the exact…
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Automated analysis of emotional expressions in dogs based on geometric morphometrics
Špinka, M. Social dimension of emotions and its implication for animal welfare. Appl. Anim. Behav. Sci. 138, 170–181 (2012).
Scherer, K. R. What are emotions? And how can they be measured?….
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Research on the inversion model of soil moisture content based on a novel ReMPDI index in mining areas
Data sources and research methods
Data sources
The research area is located in the Erlintu Coal Mine in Inner Mongolia Autonomous Region, China, which belongs to the arid and semi-arid regions. Its geographical location is shown in Fig. 1….
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A byzantine-resistant blockchain framework for secure and scalable immigration management
Chapter 3 presents a hierarchical framework for blockchain-based immigration management, where subsections follow a workflow from system architecture to real-world validation. “Overview of the peer nodes” section introduces the node roles and…
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A generalizable pathology foundation model using a unified knowledge distillation pretraining framework
Niazi, M. K. K., Parwani, A. V. & Gurcan, M. N. Digital pathology and artificial intelligence. Lancet Oncol. 20, 253–261 (2019).
Deng, S. et al. Deep learning in digital pathology image…
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A novel technique for ransomware detection using image based dynamic features and transfer learning to address dataset limitations
Our investigation aimed to assess the efficiency and robustness of the transfer learning approach using visual dynamic features to defend against ransomware attacks with limited datasets. This section consists of three components: experimental…
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Optimal estimation of power Chris-Jerry distribution parameters using ranked set sampling design with application
Here, based on RSS design, sixteen estimation methods are considered to estimate the parameters \(\alpha\) and \(\beta\) of the PC-JD. In all methods, suppose that \({z_{({i_1}:s){i_2}}}\) be the \({i_1}\)th ranked observation (in this case, the
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Body sizes of species determining the success of biological control in a three-level food chain
In order to analyse the plant–pest-biological control system using theoretical tools, we introduce the model (1). In this system, the solutions represent species abundances over time and can be described within the mathematical space defined as…
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A repetitive amplitude encoding method for enhancing the mapping ability of quantum neural networks
In this section, we present our experimental results. Since general-purpose quantum computers are not yet widely available, all experiments are performed on classical computers. The entire variational quantum circuits are implemented using the…
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